# Samit Dasgupta

My research is in algebraic number theory, specifically the explicit construction of units in number fields and points on abelian varieties. There are many classical conjectures regarding the relationships between these elements and special values of L-functions, such as the conjectures of Stark, Birch-Swinnerton-Dyer, and Beilinson. In my research I have made progress on these conjectures as well as stated and studied various generalizations and refinements that go beyond the world of L-functions. Much of my work uses the theory of modular forms and their associated Galois representations in order to shed light on these problems.

### Selected Grants

Beyond L-functions: the Eisenstein Cocycle and Hilbert's 12th Problem awarded by National Science Foundation (Principal Investigator). 2019 to 2022

Bertolini, M., et al. “P-adic L-functions and Euler systems: A tale in two trilogies.” *Automorphic Forms and Galois Representations: Volume1*, 2014, pp. 52–101. *Scopus*, doi:10.1007/9781107446335.004.
Full Text

Dasgupta, S., and M. Spiess. “On the characteristic polynomial of the gross regulator matrix.” *Transactions of the American Mathematical Society*, vol. 372, no. 2, Jan. 2019, pp. 803–27. *Scopus*, doi:10.1090/tran/7393.
Full Text

Dasgupta, S., et al. “On the Gross-Stark Conjecture.” *Annals of Mathematics*, vol. 188, no. 3, Nov. 2018, pp. 833–70. *Scopus*, doi:10.4007/annals.2018.188.3.3.
Full Text

Dasgupta, S., and J. Voight. “Sylvester’s problem and mock heegner points.” *Proceedings of the American Mathematical Society*, vol. 146, no. 8, Jan. 2018, pp. 3257–73. *Scopus*, doi:10.1090/proc/14008.
Full Text

Dasgupta, S., and M. Spieß. “Partial zeta values, Gross's tower of fields conjecture, and Gross-Stark units.” *Journal of the European Mathematical Society*, vol. 20, no. 11, Jan. 2018, pp. 2643–83. *Scopus*, doi:10.4171/JEMS/821.
Full Text

Dasgupta, S., and M. Spieß. “The Eisenstein cocycle and Gross’s tower of fields conjecture.” *Annales Mathematiques Du Quebec*, vol. 40, no. 2, Aug. 2016, pp. 355–76. *Scopus*, doi:10.1007/s40316-015-0046-2.
Full Text

Dasgupta, S. “Factorization of p-adic Rankin L-series.” *Inventiones Mathematicae*, vol. 205, no. 1, July 2016, pp. 221–68. *Scopus*, doi:10.1007/s00222-015-0634-4.
Full Text

Charollois, P., et al. “Integral Eisenstein cocycles on GLn, II: Shintani's method.” *Commentarii Mathematici Helvetici*, vol. 90, no. 2, Jan. 2015, pp. 435–77. *Scopus*, doi:10.4171/CMH/360.
Full Text

Bellaïche, J., and S. Dasgupta. “The p-adic L-functions of evil Eisenstein series.” *Compositio Mathematica*, vol. 151, no. 6, Jan. 2015, pp. 999–1040. *Scopus*, doi:10.1112/S0010437X1400788X.
Full Text

Dasgupta, S. “A conjectural product formula for Brumer-Stark units over real quadratic fields.” *Journal of Number Theory*, vol. 133, no. 3, Mar. 2013, pp. 915–25. *Scopus*, doi:10.1016/j.jnt.2012.02.013.
Full Text

Dasgupta, S., and M. Greenberg. “ℒ-invariants and Shimura curves.” *Algebra and Number Theory*, vol. 6, no. 3, July 2012, pp. 455–85. *Scopus*, doi:10.2140/ant.2012.6.455.
Full Text

## Pages

Shira at the Algebraic CombinatoriXX II workshop at BIRS last summer Shira Viel I received my PhD from North Carolina State University under the direction of Nathan Reading. My thesis work was in algebraic and geometric combinatorics with a focus... read more »